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Finding the Third Proportional to 100,294 and 140,200

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Solution

The third proportional to 100,294 and 140,200 is: 195,984.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,294 : 140,200 = 140,200 : x
  2. Step 2: Convert to fraction form
    100,294/140,200 = 140,200/x
  3. Step 3: Cross multiply
    100,294x = 140,200 × 140,200
  4. Step 4: Simplify right side
    100,294x = 19,656,040,000
  5. Step 5: Solve for x
    x = 19,656,040,000/100,294
  6. Step 6: Final answer
    x = 195,984.21

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.